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Finding the Fourth Proportional to 423.72, 584.96 and 284.04

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Solution

The fourth proportional to 423.72, 584.96 and 284.04 is: 392.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    423.72 : 584.96 = 284.04 : x
  2. Step 2: Convert to fraction form
    423.72/584.96 = 284.04/x
  3. Step 3: Cross multiply
    423.72x = 584.96 × 284.04
  4. Step 4: Simplify right side
    423.72x = 166,152.04
  5. Step 5: Solve for x
    x = 166,152.04/423.72
  6. Step 6: Final answer
    x = 392.13

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.